translate the figure H I J K L 3 units to the left. Which of following would be a vertex in the translate figure?

Question

(-6,6)
(-7,4)
(-1,-2)
(2,4)

Answer 1

To translate the figure H I J K L 3 units to the left, we need to subtract 3 from the x-coordinates of each vertex.

The original vertices are:
H = (-3, 1)
I = (-1, 3)
J = (2, 1)
K = (1, -1)
L = (-1, -2)

After translating 3 units to the left:
H' = (-6, 1)
I' = (-4, 3)
J' = (-1, 1)
K' = (-2, -1)
L' = (-4, -2)

Out of the given options, the vertex (-4, -2) matches the translated vertex L'. Therefore, the correct answer is:
(-1, -2)